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76408316080 = 24519294573793
BaseRepresentation
bin100011100101001001…
…0100110000010110000
321022020000201121220121
41013022102212002300
52222441012103310
655033531220024
75343316653625
oct1071222460260
9238200647817
1076408316080
112a44a558868
1212984ba7614
137288ca6c65
1439abb5234c
151ec30010da
hex11ca4a60b0

76408316080 has 160 divisors (see below), whose sum is σ = 193921963200. Its totient is φ = 27887763456.

The previous prime is 76408316057. The next prime is 76408316107. The reversal of 76408316080 is 8061380467.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20142664 + ... + 20146456.

It is an arithmetic number, because the mean of its divisors is an integer number (1212012270).

Almost surely, 276408316080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76408316080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96960981600).

76408316080 is an abundant number, since it is smaller than the sum of its proper divisors (117513647120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76408316080 is a wasteful number, since it uses less digits than its factorization.

76408316080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4305 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 76408316080 in words is "seventy-six billion, four hundred eight million, three hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 29 38 40 58 76 80 95 116 145 152 190 232 290 304 380 457 464 551 580 760 914 1102 1160 1520 1828 2204 2285 2320 2755 3656 3793 4408 4570 5510 7312 7586 8683 8816 9140 11020 13253 15172 17366 18280 18965 22040 26506 30344 34732 36560 37930 43415 44080 53012 60688 66265 69464 72067 75860 86830 106024 109997 132530 138928 144134 151720 173660 212048 219994 251807 265060 288268 303440 347320 360335 439988 503614 530120 549985 576536 694640 720670 879976 1007228 1060240 1099970 1153072 1259035 1441340 1733401 1759952 2014456 2089943 2199940 2518070 2882680 3466802 4028912 4179886 4399880 5036140 5765360 6933604 8359772 8667005 8799760 10072280 10449715 13867208 16719544 17334010 20144560 20899430 27734416 32934619 33439088 34668020 41798860 50268629 65869238 69336040 83597720 100537258 131738476 138672080 164673095 167195440 201074516 251343145 263476952 329346190 402149032 502686290 526953904 658692380 804298064 955103951 1005372580 1317384760 1910207902 2010745160 2634769520 3820415804 4021490320 4775519755 7640831608 9551039510 15281663216 19102079020 38204158040 76408316080